# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X4,X1),X6),s(t_fun(X1,X4),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X3,X2),X9),s(t_fun(X2,X3),X10))))=>![X11]:![X12]:![X13]:![X14]:((p(s(t_bool,happ(s(t_fun(t_fun(X4,X3),t_bool),happ(s(t_fun(t_fun(X4,X3),t_fun(t_fun(X4,X3),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X3,t_fun(X3,t_bool)),X8))),s(t_fun(X4,X3),X11))),s(t_fun(X4,X3),X12))))&p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(X4,X13))),s(X4,X14)))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(X3,happ(s(t_fun(X4,X3),X11),s(X4,X13))))),s(X3,happ(s(t_fun(X4,X3),X12),s(X4,X14))))))))),file('i/f/quotient/FUN__REL__MP', ch4s_quotients_FUNu_u_RELu_u_MP)).
fof(3, axiom,![X16]:![X17]:((p(s(t_bool,X17))=>p(s(t_bool,X16)))=>((p(s(t_bool,X16))=>p(s(t_bool,X17)))=>s(t_bool,X17)=s(t_bool,X16))),file('i/f/quotient/FUN__REL__MP', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(31, axiom,![X3]:![X4]:![X12]:![X11]:![X8]:![X7]:(p(s(t_bool,happ(s(t_fun(t_fun(X4,X3),t_bool),happ(s(t_fun(t_fun(X4,X3),t_fun(t_fun(X4,X3),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X3,t_fun(X3,t_bool)),X8))),s(t_fun(X4,X3),X11))),s(t_fun(X4,X3),X12))))<=>![X13]:![X14]:(p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(X4,X13))),s(X4,X14))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(X3,happ(s(t_fun(X4,X3),X11),s(X4,X13))))),s(X3,happ(s(t_fun(X4,X3),X12),s(X4,X14)))))))),file('i/f/quotient/FUN__REL__MP', ah4s_quotients_FUNu_u_REL)).
fof(33, axiom,![X3]:![X4]:![X34]:![X35]:![X36]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X4,t_fun(X4,t_bool)),X36),s(t_fun(X4,X3),X35),s(t_fun(X3,X4),X34))))=>![X21]:![X37]:(p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X36),s(X4,X21))),s(X4,X37))))<=>(p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X36),s(X4,X21))),s(X4,X21))))&(p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X36),s(X4,X37))),s(X4,X37))))&s(X3,happ(s(t_fun(X4,X3),X35),s(X4,X21)))=s(X3,happ(s(t_fun(X4,X3),X35),s(X4,X37))))))),file('i/f/quotient/FUN__REL__MP', ah4s_quotients_QUOTIENTu_u_REL)).
# SZS output end CNFRefutation
